The rulebook states that standard and colossal characters are adjacent to giant characters up to 2 squares away from them for movement purposes (so they would have to stop somewhere 2 squares away from them, correct?)

Also, if they're not allowed to make close combat attacks on a giant character while they are 2 squares away, how are they able to make close combat attacks (my assumption is that since you're adjacent to the giant character from 2 squares away, how is is that you will be able to get 1 square away from them other than being TK'd to that spot; unless you can make another movement to an adjacent square by breaking away?)

I've been playing the game for a while, but haven't had any experience against giant charcters.

Any and all help is appreciated.

Flyers can move into base contact with Giants. HSS can move into base contact with Giants. TK, as you said is another way. Phasing characters, and characters with Leap Climb can also all move into base contact with Giants.

Hope that helps.

Regular characters without abilities that allow them to ignore character bases would have to stop two squares out, and then roll breakaway on another turn to move the last square in.

Great, I hadn't thought about those abilities as a means to get close to a giant character.

Thanks to both of you for the help.